Combining Philosophers

All the ideas for Oswald Veblen, Henry Sidgwick and Jeffrey H. Sicha

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8 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
16. Persons / F. Free Will / 2. Sources of Free Will
If we say that freedom depends on rationality, the irrational actions are not free [Sidgwick]
23. Ethics / A. Egoism / 1. Ethical Egoism
Self-interest is not rational, if the self is just a succession of memories and behaviour [Sidgwick, by Gray]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
It is self-evident (from the point of view of the Universe) that no individual has more importance than another [Sidgwick]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Sidwick argues for utilitarian institutions, rather than actions [Sidgwick, by Tuckness/Wolf]